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Finding the Fourth Proportional to 72.27, 108.34 and 38.00

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Solution

The fourth proportional to 72.27, 108.34 and 38.00 is: 56.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.27 : 108.34 = 38.00 : x
  2. Step 2: Convert to fraction form
    72.27/108.34 = 38.00/x
  3. Step 3: Cross multiply
    72.27x = 108.34 × 38.00
  4. Step 4: Simplify right side
    72.27x = 4,117.10
  5. Step 5: Solve for x
    x = 4,117.10/72.27
  6. Step 6: Final answer
    x = 56.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.